58634738316 has 288 divisors, whose sum is σ = 190760693760. Its totient is φ = 14745456000.

The previous prime is 58634738297. The next prime is 58634738353. The reversal of 58634738316 is 61383743685.

58634738316 is a `hidden beast` number, since 5 + 86 + 3 + 473 + 83 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10955041 + ... + 10960391.

It is an arithmetic number, because the mean of its divisors is an integer number (662363520).

Almost surely, 2^58634738316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58634738316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95380346880).

58634738316 is an abundant number, since it is smaller than the sum of its proper divisors (132125955444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58634738316 is a wasteful number, since it uses less digits than its factorization.

58634738316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5500 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 58634738316 in words is "fifty-eight billion, six hundred thirty-four million, seven hundred thirty-eight thousand, three hundred sixteen".